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Full-Text Articles in Physical Sciences and Mathematics
Treatment Of A Ring With Periodic Atomic Placement Through Differential Geometry, Gregory Karjala, Lok Lew Yan Voon
Treatment Of A Ring With Periodic Atomic Placement Through Differential Geometry, Gregory Karjala, Lok Lew Yan Voon
Explorations – The Journal of Undergraduate Research, Scholarship and Creativity at Wright State
Most treatments of Bloch’s Theorem have relied on group theory or other mathematical methods for its proof. In this paper we give a derivation of the quantum number first proposed by Y.C Lee and Wei Z. Lee for the Benzene ring through the use of differential geometry. We also develop a Bloch style relationship relation for the benzene ring with an additional quantum number. Through this treatment we show the usefulness of differential geometry in the theorist’s toolkit when it comes to solid-state problems.
Multivariate Data Analysis, Diana Copeland, Michael Raymer
Multivariate Data Analysis, Diana Copeland, Michael Raymer
Explorations – The Journal of Undergraduate Research, Scholarship and Creativity at Wright State
The study of biology, computer science, and information technology all combine to form the science of bioinformatics [1]. This field was created to make discoveries on new biological insights [1]. Bioinformatics has several important task one of them being able to analyze and interpret different types of data and this includes multivariate data analysis. Multivariate data analysis can use linear projection methods such as linear discriminant analysis (LDA), principal component analysis (PCA), and projection to latent structures (PLS). I have created a Java program that can manipulate multivariate data by manual rotation and will be comparing my results to the …